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本文讨论了一类时标上右端函数为两项和的集值微分方程解的收敛性问题.首先引入时标上集值函数的Hukuhara导数意义下的Δ偏导数概念,并给出了时标上集值微分系统的比较原理.对于所构造的迭代序列,通过利用广义拟线性化方法和分析技巧,得到了上述问题近似解的平方收敛结果. 相似文献
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《数学的实践与认识》2013,(13)
由于时标理论不仅能够统一连续和离散分析,而且也具有重要的应用价值,因此主要研究时标上一类具有反馈控制的人口模型.利用Krssnoselskii不动点定理,得到了此人口模型周期解的存在性与唯一性. 相似文献
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研究时标T上的一类具非正中立项的非线性非自治二阶动力方程的动力学性质.利用时标上的有关理论,并结合一些经典不等式,得到了该方程的一些新的动力学性质,进一步推广和完善了动力方程的动力学性质. 相似文献
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考虑了时标上一类三阶非线性中立型动力方程,得到了该方程一切解振动或渐近趋于零的充分条件.特别地,所得结果推广了一些已有的结论. 相似文献
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本文从二元样条空间的理论出发,构造了一类新的差分格式,并利用它得到了一类自共轭椭圆型方程的样条解,并证明了这样的解的唯一性和收敛性问题.最后,给出了一个数值例子,说明了本方法是可行的. 相似文献
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Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from... 相似文献
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S. V. Kerov 《Journal of Mathematical Sciences》1988,41(2):995-999
The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986. 相似文献
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Yu. N. Lin'kov 《Journal of Mathematical Sciences》1991,53(4):409-415
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987. 相似文献
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In this paper, we prove that any subreduct of the class of representable relation algebras whose similarity type includes
intersection, relation composition and converse is a non-finitely axiomatizable quasivariety and that its equational theory
is not finitely based. We show the same result for subreducts of the class of representable cylindric algebras of dimension
at least three whose similarity types include intersection and cylindrifications. A similar result is proved for subreducts
of the class of representable sequential algebras.
Received October 7, 1998; accepted in final form September 10, 1999. 相似文献
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Vladimir I. Arnold 《Functional Analysis and Other Mathematics》2009,2(2-4):151-164
Empirical study of the period’s length T of the continued fractions of $\sqrt{Q}$ (for growing integers Q) shows several strange asymptotical results, for instance, $T\leq C\sqrt{Q}\ln{Q}$ . These results show important differences between the statistics of the elements of the continued fractions of random real numbers and of square roots of random integers. 相似文献
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